P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = \( \frac{...

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = \( \frac{8}{5} \)

Answer Details
P  ∝  mu, p  ∝ 1 q
p = muk ................ (1)
p =  1 q k .... (2)
Combining (1) and (2), we get
P =  m u q k
4 =  m × u 1 k
giving k =  4 6 = 2 3
So, P =  m u q × 2 3 = 2 m u 3 q
Hence, P =  2 × 6 × 4 3 × 8 5
P =  2 × 6 × 4 × 5 3 × 8
p = 10

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